Connection between the Loop Variable Formalism and the Old Covariant Formalsm for the Open Bosonic String

Details Connection between the Loop Variable Formalism and the Old Covariant Formalsm for the Open Bosonic String Connection between the Loop Variable Formalism and the Old Covariant Formalsm for the Open Bosonic String

2006-02-09

arxiv.org/abs/hep-th/0602090v1

Mod.Phys.Lett.A21:863-882,2006

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 24 pages

Scientific paper

10.1142/S0217732306020032

The gauge invariant loop variable formalism and old covariant formalism for bosonic open string theory are compared in this paper. It is expected that for the free theory, after gauge fixing, the loop variable fields can be mapped to those of the old covariant formalism in bosonic string theory, level by level. This is verified explicitly for the first two massive levels. It is shown that (in the critical dimension) the fields, constraints and gauge transformations can all be mapped from one to the other. Assuming this continues at all levels one can give general arguments that the tree S-matrix (integrated correlation functions for on-shell physical fields) is the same in both formalisms and therefore they describe the same physical theory (at tree level).

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